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3 years ago

Multiplying and Dividing Rational Expressions What is the product?

Mathematics

1 answer:

PolarNik [594]3 years ago

4 0

rational numbers are always negative when u add irrational numbersStep-by-step explanation:

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Claudia spends $2.15 a day for lunch. Her cafeteria lunch account has a balance of $48.00. Which equation can be used to determi

andreev551 [17]

Answer:

d≤48/2.15

Step-by-step explanation:

Step one:

Given data

Claudia spends $2.15 a day for lunch.

We are told that her balance is $48.00

let the number of days be d

Step two:

The maximum number of days she can eat is given as

d≤48/2.15

d≤22.33 days

7 0

3 years ago

The base of a triangle is 9cm less than the three times the height. The area is 15 cm2.

ziro4ka [17]

Answer:

The height is 6 cm and the base is 5 cm.

Step-by-step explanation:

Given:

The base of a triangle is 9 cm less than the three times the height. The area is 15 cm².

Now, to find the height and the base of the triangle.

Let the height of the triangle be $x.$

And then base of the triangle = $3x-9.$

The area of the triangle = $15\ cm^2.$

Now, we put formula to get the base and height of the triangle:

$Area=\frac{1}{2} \times base\ \times height\\\\15=\frac{1}{2} \times (3x-9)\times x\\\\15=\frac{3x^2-9x}{2}$

Multiplying both sides by 2 we get:

$30=3x^2-9x$

$30=3(x^2-3x)$

Dividing both sides by 3 we get:

$10=x^2-3x$

Subtracting both sides by 10 we get:

$0=x^2-3x-10\\\\x^2-3x-10=0$

Now, solving the quadratic equation:

$x^2-5x+2x-10=0\\\\x(x-5)+2(x-5)=0\\\\(x-5)(x+2)=0\\\\\\x-5=0\ \ \ \ \ x+2=0\\\\x=5\ \ \ \ \ \ \ \ \ \ x=-2$

Hence, the negative result is not to be taken so, we take the positive result.

Thus, the height is 5 cm.

Now, substituting the value of $x$ to get the base:

$3x-9\\\\=3\times 5-9\\\\=15-9\\\\=6\ cm.$

Hence, the base is 6cm.

Therefore, the height is 6 cm and the base is 5 cm.

6 0

3 years ago

Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 529 square meter

Zielflug [23.3K]

Answer:

$x=23/\sqrt{6}$ ,

$y= \frac{23}{6\sqrt{6}}$

Step-by-step explanation:

From the question we are told that

Surface area is 529 square meters

Generally the dimensions of the cuboid

$v=x^y$

$D=4xy+2x^2 =529$

$V=x^29(\frac{529-6x^2}{4x})$

$V' =529-6x^2/4$

$v'=0$

Therefore

$529=6x^2$

$x=\sqrt{\frac{529}{6} }$

$x=23/\sqrt{6}$

Mathematically

$v''=\frac{12x}{4}$

$v''=-3\frac{23}{\sqrt{6} }$

$y= \frac{529-2*(\frac{529}{6} }{4*\frac{23}{\sqrt{6} } }$

$y= \frac{23}{6\sqrt{6}}$

Therefore

$x=23/\sqrt{6}$

and

$y= \frac{23}{6\sqrt{6}}$

7 0

3 years ago

From beginning to end, explain the steps required to make a peanut butter and jelly sandwich.

jonny [76]

First take the bread, jelly, peanut butter out and set on the counter, next get a plate and butter knife. Take two pieces of bread and set them on the plate. Next spread peanut butter on one piece of bread with the butter knife. Next spread jelly on the other piece of bread. Finally put the two pieces of bread together with peanut butter side and jelly side touching.

5 0

4 years ago

Select the choice that translates the following verbal phrase correctly to algebra: y less than 21

Romashka [77]

Y (y) less than (minus) 21 (21
y-21

3 0

4 years ago

Read 2 more answers